ProShares Ultra Dow30 (DDM)

TotalReturn:

'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

• Looking at the total return, or performance of 70.9% in the last 5 years of ProShares Ultra Dow30, we see it is relatively lower, thus worse in comparison to the benchmark SPY (91.8%)
• Looking at total return, or increase in value in of 24.2% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (30.9%).

CAGR:

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

• Compared with the benchmark SPY (13.9%) in the period of the last 5 years, the annual return (CAGR) of 11.3% of ProShares Ultra Dow30 is smaller, thus worse.
• Compared with SPY (9.5%) in the period of the last 3 years, the annual return (CAGR) of 7.5% is lower, thus worse.

Volatility:

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

• The 30 days standard deviation over 5 years of ProShares Ultra Dow30 is 40.8%, which is higher, thus worse compared to the benchmark SPY (21%) in the same period.
• Looking at 30 days standard deviation in of 29.4% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (17.5%).

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

• The downside volatility over 5 years of ProShares Ultra Dow30 is 29.3%, which is greater, thus worse compared to the benchmark SPY (15%) in the same period.
• During the last 3 years, the downside risk is 20.7%, which is greater, thus worse than the value of 12.3% from the benchmark.

Sharpe:

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

• Compared with the benchmark SPY (0.54) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.22 of ProShares Ultra Dow30 is lower, thus worse.
• During the last 3 years, the Sharpe Ratio is 0.17, which is smaller, thus worse than the value of 0.4 from the benchmark.

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• Looking at the downside risk / excess return profile of 0.3 in the last 5 years of ProShares Ultra Dow30, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.76)
• Looking at ratio of annual return and downside deviation in of 0.24 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.57).

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

• The Ulcer Ratio over 5 years of ProShares Ultra Dow30 is 18 , which is larger, thus worse compared to the benchmark SPY (9.33 ) in the same period.
• Looking at Ulcer Index in of 14 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (8.89 ).

MaxDD:

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

• Looking at the maximum drop from peak to valley of -63.1 days in the last 5 years of ProShares Ultra Dow30, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
• During the last 3 years, the maximum drop from peak to valley is -37.2 days, which is smaller, thus worse than the value of -22.4 days from the benchmark.

MaxDuration:

'The Maximum Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. It is the length of time the account was in the Max Drawdown. A Max Drawdown measures a retrenchment from when an equity curve reaches a new high. It’s the maximum an account lost during that retrenchment. This method is applied because a valley can’t be measured until a new high occurs. Once the new high is reached, the percentage change from the old high to the bottom of the largest trough is recorded.'

• The maximum time in days below previous high water mark over 5 years of ProShares Ultra Dow30 is 517 days, which is greater, thus worse compared to the benchmark SPY (488 days) in the same period.
• Looking at maximum days below previous high in of 480 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (375 days).

AveDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

• Compared with the benchmark SPY (122 days) in the period of the last 5 years, the average days below previous high of 145 days of ProShares Ultra Dow30 is larger, thus worse.
• During the last 3 years, the average days under water is 168 days, which is larger, thus worse than the value of 114 days from the benchmark.